# How do you find the limit of 1/e^x as x approaches oo?

Jun 1, 2018

${\lim}_{x \rightarrow + \infty} \frac{1}{e} ^ x = \frac{1}{e} ^ \left(+ \infty\right) = \frac{1}{\infty} = 0$

#### Explanation:

Show below the sketch of $y = {e}^{x}$
graph{e^x [-7.024, 7.024, -3.51, 3.513]}

${\lim}_{x \rightarrow + \infty} \frac{1}{e} ^ x = \frac{1}{e} ^ \left(+ \infty\right) = \frac{1}{\infty} = 0$

Note that:

$\frac{c}{\pm \infty} = 0$ where c any constant.